3724768 has 48 divisors (see below), whose sum is σ = 8001504. Its totient is φ = 1699840.

The previous prime is 3724757. The next prime is 3724807. The reversal of 3724768 is 8674273.

3724768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22221 + ... + 22387.

It is an arithmetic number, because the mean of its divisors is an integer number (166698).

Almost surely, 2^3724768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3724768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000752).

3724768 is an abundant number, since it is smaller than the sum of its proper divisors (4276736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3724768 is a wasteful number, since it uses less digits than its factorization.

3724768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 3724768 is about 1929.9658028058. The cubic root of 3724768 is about 155.0123888814.

The spelling of 3724768 in words is "three million, seven hundred twenty-four thousand, seven hundred sixty-eight".